first order equilibrium point

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Jhon 2018-10-25

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/426144-first-order-equilibrium-point

Hello,I have this differential equation : x'=x+53 and I need to plot its equilibrium point using ode for multiple initial conditions,the conditions are not specified.I know that equilibrium point occurs when x'=0.The code:

function xp = f(t,x)
xp=x + 53;
end
t,x] = ode23('f',[0,4],[-56])
plot(t,x,'r')
hold on
[t,x] = ode23('f',[0,4],[0.4])
plot(t,x,'g')
[t,x] = ode23('f',[0,4],[-66])
plot(t,x,'k')
[t,x] = ode23('f',[0,4],[-88])
plot(t,x,'b')
[t,x] = ode23('f',[0,4],[-77])
plot(t,x,'y')
[t,x] = ode23('f',[0,4],[58])
plot(t,x,'r')
[t,x] = ode23('f',[0,4],[34])
plot(t,x,'b')
[t,x] = ode23('f',[0,4],[17])
plot(t,x,'g')

I got that plot.Am I doing this right?So far I think the plot shows that in 0 there is a stable equilibrium point.What to do if I want to show the stability in 33?